Step-by-step explanation:
LHS = Left Hand Side ; RHS = Right Hand Side
a) RHS = 1/ tan x
= 1/ (Sin x/Cos x)
= Cos x/Sin x
= LHS
b) LHS = Sin^2 x / tan^2 x
= Sin^2 x / (Sin^2 x/Cos^2 x)
=( Sin^2 x * Cos^2 x) / (Sin^2 x)
= Cos^2 x
= 1 - Sin^2 x (Because sin^2 x + cos^2 x = 1)
= RHS
c) RHS = Sin^3 x / tan x + Cos^3 x
= Sin^3 x / (Sinx/Cosx) + Cos^3 x
= (Sin^3 x * Cos x)/Sin x + Cos^3 x
= Sin^2 x * Cos x + Cos^3 x
= Cos x (Sin^2 x + Cos^2 x)
= Cos x *(1) {Because, Sin^2 x + Cos^2 x = 1}
= Cos x
= LHS
Answer:
In 6/ 12 hours they will be the same.
Hello :
<span>s(x) = x – 7 and t(x) = 4x² – x + 3
</span><span> (t x s)(x)= (x-7)(4x²-x+3) = 4x^3-x²+3x-28x²+7x-21
</span> (t x s)(x)= 4x^3 -29x²+10x -21
5-1.5= 3.5 She has three and a half hours left watching TV.
The dragons would have to speed up to balance out the time that they slowed down.
The instantaneous rates of changes are all the individual speeds at given times. If you have some that are slow, you will need to have just as many that are fast to balance it out and ensure they have the correct average speed.